11300444242401 has 32 divisors (see below), whose sum is σ = 15302157361920. Its totient is φ = 7417190974464.

The previous prime is 11300444242349. The next prime is 11300444242457. The reversal of 11300444242401 is 10424244400311.

It is a happy number.

It is not a de Polignac number, because 11300444242401 - 2⁷ = 11300444242273 is a prime.

It is a super-2 number, since 2×11300444242401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11300444242201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36952741 + ... + 37257293.

It is an arithmetic number, because the mean of its divisors is an integer number (478192417560).

Almost surely, 2^{11300444242401} is an apocalyptic number.

It is an amenable number.

11300444242401 is a deficient number, since it is larger than the sum of its proper divisors (4001713119519).

11300444242401 is a wasteful number, since it uses less digits than its factorization.

11300444242401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305385.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 11300444242401 its reverse (10424244400311), we get a palindrome (21724688642712).

The spelling of 11300444242401 in words is "eleven trillion, three hundred billion, four hundred forty-four million, two hundred forty-two thousand, four hundred one".